Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Evaluate the following definite integral by the limit definition. 
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2.
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Evaluate the following definite integral by the limit definition.  a. | 4375 | b. |  | c. | 4372 | d. | 1125 | e. |  |
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3.
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Evaluate the following definite integral by the limit definition.  a. | –216 | b. | 240 | c. | –240 | d. | 192 | e. | 216 |
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4.
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Write the following limit as a definite integral on the interval [2 ,
5], where ci is any point in the ith
subinterval. 
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5.
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Write the limit  , as a definite integral on the interval  where  is any point in the  subinterval.
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6.
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Write the following limit as a definite integral on the interval 
where ci is any point in the  subinterval. 
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7.
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Write the limit  , as a definite integral on the interval  , where ci is any point in the 
subinterval.
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8.
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The graph of the function  is given below. Which of
the following definite integrals yields the area of the shaded region? 
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9.
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The graph of the function  is given below. Which of
the following definite integrals yields the area of the shaded region? 
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10.
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Sketch the region whose area is given by the definite integral and then use a
geometric formula to evaluate the integral. 
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11.
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Sketch the region whose area is given by the definite integral and then use a
geometric formula to evaluate the integral. 
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12.
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Sketch the region whose area is given by the definite integral and then use a
geometric formula to evaluate the integral. 
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13.
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Sketch the region whose area is given by the definite integral and then use a
geometric formula to evaluate the integral. 
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14.
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Sketch the region whose area is given by the definite integral and then use a
geometric formula to evaluate the integral. 
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15.
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a. | –156 | b. | 156 | c. | 1,016 | d. | 24 | e. | 6,630 |
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16.
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a. | –180 | b. | 16 | c. | –10169 | d. | –11522 | e. | –179 |
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17.
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Evaluate the integral.  given,  a. | –36 | b. | –146 | c. | –114 | d. | 4 | e. | –58 |
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18.
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Evaluate the integral.  given,  a. | –65 | b. | –2377 | c. | –66 | d. | –2024 | e. | –2025 |
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19.
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The graph of f consists of line segments, as shown in the figure.
Evaluate the definite integral  using geometric formulas. 
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